9972754489152 has 1120 divisors, whose sum is σ = 36968983468032. Its totient is φ = 2588194197504.

The previous prime is 9972754489151. The next prime is 9972754489183. The reversal of 9972754489152 is 2519844572799.

It is a happy number.

9972754489152 is a `hidden beast` number, since 9 + 9 + 7 + 27 + 5 + 448 + 9 + 152 = 666.

9972754489152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9972754489151) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 19068363963 + ... + 19068364485.

Almost surely, 2^{9972754489152} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9972754489152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18484491734016).

9972754489152 is an abundant number, since it is smaller than the sum of its proper divisors (26996228978880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9972754489152 is a wasteful number, since it uses less digits than its factorization.

9972754489152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1137 (or 1118 counting only the distinct ones).

The product of its digits is 457228800, while the sum is 72.

The spelling of 9972754489152 in words is "nine trillion, nine hundred seventy-two billion, seven hundred fifty-four million, four hundred eighty-nine thousand, one hundred fifty-two".